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Finding the Third Proportional to 246,026 and 530,662

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Solution

The third proportional to 246,026 and 530,662 is: 1,144,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,026 : 530,662 = 530,662 : x
  2. Step 2: Convert to fraction form
    246,026/530,662 = 530,662/x
  3. Step 3: Cross multiply
    246,026x = 530,662 × 530,662
  4. Step 4: Simplify right side
    246,026x = 281,602,158,244
  5. Step 5: Solve for x
    x = 281,602,158,244/246,026
  6. Step 6: Final answer
    x = 1,144,603.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.